1. Ch 6 Sec 2: Slide #1 Columbus State Community College Chapter 6 Section 2 The Multiplication Property of Equality

2. Ch 6 Sec 2: Slide #2 The Multiplication Property of Equality 1.Use the multiplication property of equality. 2.Simplify equations, and then use the multiplication property of equality.

3. Ch 6 Sec 2: Slide #3 Multiplication Property of Equality If a, b, c represent real numbers ( c ≠ 0 ), then the equations a = b and a c = b c are equivalent equations. In other words, we can multiply each side of an equation by the same nonzero number without changing the solution.

4. Ch 6 Sec 2: Slide #4 3 4 Dividing Each Side of an Equation by a Nonzero Number EXAMPLE 1 Dividing by a Nonzero Number Solve18x = 24. 18x = 24 18x = 18 18x = 24 = 18x = 4 3

5. Ch 6 Sec 2: Slide #5 1 6 Dividing Each Side of an Equation by a Nonzero Number EXAMPLE 1 Dividing by a Nonzero Number Solve18x = 24. Check 18x = 24 = 24 4 3 18 1 24= 24 Balances

6. Ch 6 Sec 2: Slide #6 Solving an Equation with Decimals EXAMPLE 2 Solving an Equation with Decimals Solve3.2 m = 24.96. 3.2 m = 24.96 3.2 m24.96 = 3.2 m = 7.8

7. Ch 6 Sec 2: Slide #7 Solving an Equation with Decimals EXAMPLE 2 Solving an Equation with Decimals Solve3.2 m = 24.96. Check 3.2 m = 24.96 3.2 ( 7.8 )= 24.96 24.96= 24.96 Balances

8. Ch 6 Sec 2: Slide #8 1 15 1 1 1 1 Using the Multiplication Property of Equality EXAMPLE 3 Using the Multiplication Property of Equality Solve. 2 5 w = 30 2 5 w = 5 2 5 2 2 5 w= w=75

9. Ch 6 Sec 2: Slide #9 Using the Multiplication Property of Equality EXAMPLE 3 Using the Multiplication Property of Equality Solve. Check 2 5 w = 30 2 5 ( 75 ) = 30 2 5 w= = Balances

10. Ch 6 Sec 2: Slide #10 Coefficient of the Variable is – 1 EXAMPLE 4 Using the Multiplication Property of Equality Solve – h = 15. – h = 15 h = – 15 – h = 15 – 1 h = 15 h = – 15 – 1 h = 15 – 1 ( – 1 h ) = – 1 ( 15 ) Method 1Method 2 – 1 h15 = –1–1 –1–1

11. Ch 6 Sec 2: Slide #11 Coefficient of the Variable is – 1 EXAMPLE 4 Using the Multiplication Property of Equality Solve – h = 15. Check – h = 15 – 1 ( – 15 ) 15 = 15 Balances

12. Ch 6 Sec 2: Slide #12 The Multiplication Property of Equality Chapter 6 Section 2 – Completed Written by John T. Wallace